Paolo Maria Mariano

Nonlinear ferroelectric wires under periodic live loads: waves with period matching the forcing

Abstract We consider the dynamics of nonlinear elastic ferroelectric wires subjected to periodic external forcing. For general free energies, we determine conditions under which wave-type solutions, including the polarization field, have a period matching the one of periodic exte...

Microstructure-induced dispersive operators in nonlinear dynamics of elastic bodies: two paradigmatic cases

Abstract Latent microstructures may affect the dynamics of elastic bodies by selecting dispersive components of the gross evolution operator. We examine this mechanism in a nonlinear one-dimensional setting in which an internal constraint links an active microstructural descripto...